Evaluation of kinetic theory collision integrals using the generalized phase shift approach

The collision integrals arising in the treatment of binary gas mixtures in applied magnetic fields are shown to be straightforward generalizations of those partially evaluated by L. W. Hunter and R. F. Snider, and utilized by Hunter in his treatment of the effects of a magnetic field on the shear viscosity and thermal conductivity of single component diatomic gases. These collision integrals are further developed by use of the generalized phase shift formalism, which permits the evaluation of several summations and angle integrations and leads to considerable simplification of the expressions.